trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Rectangle rowmotion max-minus-min homomesy

The max-minus-min statistic is zero-sum on every literal interval-closed rectangle rowmotion orbit.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

The original all-rectangle homomesy conjecture

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Rectangular corners of order-convex setsRectangular corners of order-convex setsEndpoint transport along the literal toggle traceEndpoint transport along theliteral toggle traceRectangle rowmotion max-minus-min homomesyRectangle rowmotion max-minus-min homomesySigned cardinality need not be zero-mesicSigned cardinality need not bezero-mesic
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Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Geometry/RectangleRowmotionHomomesy
Repository path
D5/S3/Combinatorics/Geometry/RectangleRowmotionHomomesy.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.